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Simplifying 4x + -1[2x + 3(2x + 1)] = 0 Reorder the terms: 4x + -1[2x + 3(1 + 2x)] = 0 4x + -1[2x + (1 * 3 + 2x * 3)] = 0 4x + -1[2x + (3 + 6x)] = 0 Reorder the terms: 4x + -1[3 + 2x + 6x] = 0 Combine like terms: 2x + 6x = 8x 4x + -1[3 + 8x] = 0 4x + [3 * -1 + 8x * -1] = 0 4x + [-3 + -8x] = 0 Reorder the terms: -3 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x -3 + -4x = 0 Solving -3 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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